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Finding the Fourth Proportional to 47,792.92, 71,698.03 and 19,697.33

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Solution

The fourth proportional to 47,792.92, 71,698.03 and 19,697.33 is: 29,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.92 : 71,698.03 = 19,697.33 : x
  2. Step 2: Convert to fraction form
    47,792.92/71,698.03 = 19,697.33/x
  3. Step 3: Cross multiply
    47,792.92x = 71,698.03 × 19,697.33
  4. Step 4: Simplify right side
    47,792.92x = 1,412,259,757.26
  5. Step 5: Solve for x
    x = 1,412,259,757.26/47,792.92
  6. Step 6: Final answer
    x = 29,549.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.